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Question :

Directions : Read the data carefully and answer the following question.

The bar graph given below shows the percentage of unbaked bricks out of total number of bricks (baked + unbaked) manufactured and the percentage of sold baked bricks as the percentage of unsold baked bricks by four companies.

Number of bricks manufactured = Number of baked bricks manufactured + Number of unbaked bricks manufactured

Number of baked bricks manufactured = Number of sold baked bricks + Number of unsold baked bricks

Note:

Number of baked bricks sold by company C is 100 more than that by company D.

The average number of unbaked bricks manufactured by company B and C together is 2600.

If the total number of unsold bricks by company B is twice the total number of unsold bricks by company C and the total number of unbaked bricks manufactured by company B and C together is 3d/7% more than the total number of sold bricks by company B and C together, then what is the value of 'd'?

1. 300

2. 200

3. 250

4. 150

5. 100

Correct Answer : 2
Solution :

Let the total number of bricks manufactured by company B and C is 'b' and 'c' respectively.

Average number of unbaked bricks manufactured by company B and C together = 2600

35% of b + 40% of c = 2*2600 = 5200

7b + 8c = 104000 -----(1)

Total number of unsold bricks by company B = 2* total number of unsold bricks by company C

100/(100+30) * (100 - 35)% * b = 2*100/(100 + 80) * (100 - 40)% * c

b/2 = 2c/3

3b - 4c = 0 -------(2)

From eqn (1) and (2) -

13b = 104000 => b = 8000

c = 6000

Total number of unbaked bricks manufactured by company B and C together = 35% * 8000 + 40% * 6000 = 2800 + 2400 = 5200

Total number of sold bricks by company B and C together = (30/130)*(100 - 35)%*8000 + (80/180)*(100 - 40)%*6000

= 1200 + 1600

= 2800

Required percentage = [(5200 - 2800)/2800]*100 = (600/7)%

3d/7 = 600/7

d = 200

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